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Finding the Third Proportional to 329,548.50 and 494,322.75

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Solution

The third proportional to 329,548.50 and 494,322.75 is: 741,484.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,548.50 : 494,322.75 = 494,322.75 : x
  2. Step 2: Convert to fraction form
    329,548.50/494,322.75 = 494,322.75/x
  3. Step 3: Cross multiply
    329,548.50x = 494,322.75 × 494,322.75
  4. Step 4: Simplify right side
    329,548.50x = 244,354,981,167.56
  5. Step 5: Solve for x
    x = 244,354,981,167.56/329,548.50
  6. Step 6: Final answer
    x = 741,484.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.